import java.util.HashMap;
import java.util.Map;
import java.util.Objects;

public class Leetcode808 {

    static final double[] table = {0.5, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.65625, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.71875, 0.7421875, 0.7421875, 0.7421875, 0.7421875, 0.7421875, 0.7421875, 0.7421875, 0.7421875, 0.7421875, 0.7421875, 0.7421875, 0.7421875, 0.7421875, 0.7421875, 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0.9999893866772255, 0.9999893866772255};

    public static double soupServings1(int n) {
        if (n > 4450) {
            return 1;
        }

        return table[n];
    }

    public static void main(String[] args) {
        for (int i = 0; i < 4450; i++) {
            System.out.print(soupServings(i) + ",");
        }
    }

    static Map<Pair, Double> map = new HashMap<>();

    public static double soupServings(int n) {
        if (n > 4450) {
            return 1;
        }

        return soupServings(n, n);
    }

    public static double soupServings(int a, int b) {
        Pair pair = new Pair(a, b);
        Double res = map.get(pair);
        if (res != null) {
            return res;
        }

        if (a <= 0 && b <= 0) {
            return 0.5;
        }

        if (b <= 0) {
            return 0;
        }

        if (a <= 0) {
            return 1;
        }

        double r = (soupServings(a - 100, b) + soupServings(a - 75, b - 25) + soupServings(a - 50, b - 50) + soupServings(a - 25, b - 75)) / 4;
        map.put(pair, r);

        return r;
    }

    static class Pair {
        int k;
        int v;

        public Pair(int k, int v) {
            this.k = k;
            this.v = v;
        }

        @Override
        public boolean equals(Object o) {
            if (this == o) return true;
            if (o == null || getClass() != o.getClass()) return false;
            Pair pair = (Pair) o;
            return k == pair.k && v == pair.v;
        }

        @Override
        public int hashCode() {
            return Objects.hash(k, v);
        }
    }

}
